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Name Date Class 

7-6 
Homework and Practice

LESSON 
Similar Figures 

1. Which figures are similar to ABCD? W32 X
F 21G 


N 24 P 

A16 B 


28

21

24

14 
DCMLS RZ Y 

2. If a tree casts a 22-ft shadow at the same time a 6-ft tall person 
casts a 4-ft shadow, how tall is the tree? 
3. In RST, RS  28 cm, ST  20 cm, RT  24 cm. If DKM is 
similar to RST and the ratio of the corresponding sides of 
DKM to RST is 3 to 4, find the lengths of D, K, and D.
KMM

4. A nickel is approximately 20 mm in diameter and a quarter is 
approximately 25 mm in diameter. If the nickel is enlarged to a 
diameter of 128 mm, what would be the diameter of the quarter 
using the same scale? 
5. The students gave their school a gift of an American flag that 
measures 30 ft by 50 ft. They wanted to make a scale drawing of 
the flag to place on a plaque acknowledging the gift. What would 
the dimensions of the flag on the plaque be if it were made to a 
scale of 10 ft  1 in.? 
6. Lilly is enlarging a photo that is 4 in. wide and 6 in. long to a 
photo that is 24 in. wide. What would be the length of the new 
photo after the enlargement? 
7. A 4 ft tall child is standing by The Leaning Tower of Pisa in Italy. 
The child casts a 15 ft shadow at the same time the tower casts 
a 675 ft shadow. Approximate the height of the Leaning Tower of 
Pisa. 
Copyright  by Holt, Rinehart and Winston. 

60 Holt Middle School Math

All rights reserved. 


(<< Back <<) << Back <<
(|| Print ||) || Print ||
Name Date Class 

7-6 
Homework and Practice

LESSON 
Similar Figures 

1. Which figures are similar to ABCD? W32 X
F 21G 

N 24 P 

A 16 


B 

28

21

24

14 
all figures are similar DCMLS RZ Y 

2. If a tree casts a 22-ft shadow at the same time a 6-ft tall person 
casts a 4-ft shadow, how tall is the tree? 
33 ft 

3. In RST, RS  28 cm, ST  20 cm, RT  24 cm. If DKM is 
similar to RST and the ratio of the corresponding sides of 
DKM to RST is 3 to 4, find the lengths of D, K, and D.
KMM

DK  21 cm, KM  15 cm, DM  18 cm 

4. A nickel is approximately 20 mm in diameter and a quarter is 
approximately 25 mm in diameter. If the nickel is enlarged to a 
diameter of 128 mm, what would be the diameter of the quarter 
using the same scale? 
160 mm 

5. The students gave their school a gift of an American flag that 
measures 30 ft by 50 ft. They wanted to make a scale drawing of 
the flag to place on a plaque acknowledging the gift. What would 
the dimensions of the flag on the plaque be if it were made to a 
scale of 10 ft  1 in.? 
3 in.  5 in. 

6. Lilly is enlarging a photo that is 4 in. wide and 6 in. long to a 
photo that is 24 in. wide. What would be the length of the new 
photo after the enlargement? 
36 in. 

7. A 4 ft tall child is standing by The Leaning Tower of Pisa in Italy. 
The child casts a 15 ft shadow at the same time the tower casts 
a 675 ft shadow. Approximate the height of the Leaning Tower of 
Pisa. 
180 ft 

Copyright  by Holt, Rinehart and Winston. 

60 Holt Middle School Math

All rights reserved. 


